From 75b44c96a3220d6a9719922052ece4e74dec1170 Mon Sep 17 00:00:00 2001 From: Eldar Khattatov Date: Tue, 26 Sep 2017 18:43:52 -0400 Subject: [PATCH] Fix flux_sparsity and project_boundary_values for vector-valued hp objects --- doc/news/changes/minor/20170926EldarKhattatov | 6 + .../numerics/matrix_creator.templates.h | 286 +- include/deal.II/numerics/vector_tools.h | 14 + source/dofs/dof_tools_sparsity.cc | 108 +- tests/hp/boundary_matrices.cc | 144 + tests/hp/boundary_matrices.output | 565 ++ tests/hp/boundary_matrices_hp.cc | 161 + tests/hp/boundary_matrices_hp.output | 7812 +++++++++++++++++ tests/hp/flux_sparsity.cc | 136 + tests/hp/flux_sparsity.output | 112 + 10 files changed, 9165 insertions(+), 179 deletions(-) create mode 100644 doc/news/changes/minor/20170926EldarKhattatov create mode 100644 tests/hp/boundary_matrices.cc create mode 100644 tests/hp/boundary_matrices.output create mode 100644 tests/hp/boundary_matrices_hp.cc create mode 100644 tests/hp/boundary_matrices_hp.output create mode 100644 tests/hp/flux_sparsity.cc create mode 100644 tests/hp/flux_sparsity.output diff --git a/doc/news/changes/minor/20170926EldarKhattatov b/doc/news/changes/minor/20170926EldarKhattatov new file mode 100644 index 0000000000..75a6d08007 --- /dev/null +++ b/doc/news/changes/minor/20170926EldarKhattatov @@ -0,0 +1,6 @@ +Fixed: the hp version of DoFTools::make_flux_sparsity_pattern() with masks for +DoF couplings now works with non-primitive FE spaces, similarly to its non-hp version. +The hp version of project_boundary_values() is modified to work properly with Hdiv +conforming finite elements. +
+(Eldar Khattatov, 2017/09/26) diff --git a/include/deal.II/numerics/matrix_creator.templates.h b/include/deal.II/numerics/matrix_creator.templates.h index 9cad1f0a77..578a8c054b 100644 --- a/include/deal.II/numerics/matrix_creator.templates.h +++ b/include/deal.II/numerics/matrix_creator.templates.h @@ -1,6 +1,6 @@ // --------------------------------------------------------------------- // -// Copyright (C) 2016 by the deal.II authors +// Copyright (C) 2016 - 2017 by the deal.II authors // // This file is part of the deal.II library. // @@ -52,8 +52,6 @@ # include #endif -#include - #include #include @@ -903,7 +901,7 @@ namespace MatrixCreator std::vector const &component_mapping) { - // All assertions for this function are in the calling function + // Most assertions for this function are in the calling function // before creating threads. const unsigned int n_components = fe.n_components(); const unsigned int n_function_components = boundary_functions.begin()->second->n_components; @@ -926,8 +924,7 @@ namespace MatrixCreator std::vector coefficient_values (fe_values.n_quadrature_points, 1.); std::vector > coefficient_vector_values (fe_values.n_quadrature_points, Vector(n_components)); - const bool coefficient_is_vector = (coefficient != nullptr && coefficient->n_components != 1) - ? true : false; + const bool coefficient_is_vector = (coefficient != nullptr && coefficient->n_components != 1); std::vector rhs_values_scalar (fe_values.n_quadrature_points); std::vector > rhs_values_system (fe_values.n_quadrature_points, @@ -981,9 +978,13 @@ namespace MatrixCreator coefficient_vector_values[point] = coefficient_values[point]; } - // Special treatment for Hdiv and Hcurl elements, - // where only the normal or tangential component - // should be projected. + // Special treatment for Hdiv elements, + // where only normal components should be projected. + // For Hdiv we need to compute (u dot n, v dot n) which + // can be done as sum over dim components of + // u[c] * n[c] * v[c] * n[c] = u[c] * v[c] * normal_adjustment[c] + // Same approach does not work for Hcurl, so we throw an exception. + // Default value 1.0 allows for use with non Hdiv elements std::vector > normal_adjustment(fe_values.n_quadrature_points, std::vector(n_components, 1.)); @@ -992,6 +993,15 @@ namespace MatrixCreator const FiniteElement &base = fe.base_element(fe.component_to_base_index(comp).first); const unsigned int bcomp = fe.component_to_base_index(comp).second; + if (!base.conforms(FiniteElementData::H1) && + base.conforms(FiniteElementData::Hdiv) && + fe_is_primitive) + Assert(false, ExcNotImplemented()); + + if (!base.conforms(FiniteElementData::H1) && + base.conforms(FiniteElementData::Hcurl)) + Assert(false, ExcNotImplemented()); + if (!base.conforms(FiniteElementData::H1) && base.conforms(FiniteElementData::Hdiv)) for (unsigned int point=0; pointsecond->n_components; - const bool fe_is_system = (n_components != 1); const FiniteElement &fe = cell->get_fe(); + const bool fe_is_system = (n_components != 1); + const bool fe_is_primitive = fe.is_primitive(); const unsigned int dofs_per_face = fe.dofs_per_face; copy_data.cell = cell; @@ -1290,6 +1301,7 @@ namespace MatrixCreator UpdateFlags update_flags = UpdateFlags (update_values | update_JxW_values | + update_normal_vectors | update_quadrature_points); hp::FEFaceValues x_fe_values (mapping, fe_collection, q, update_flags); @@ -1299,6 +1311,8 @@ namespace MatrixCreator std::vector coefficient_values; std::vector > coefficient_vector_values; + const bool coefficient_is_vector = (coefficient != nullptr && coefficient->n_components != 1); + std::vector rhs_values_scalar; std::vector > rhs_values_system; @@ -1332,94 +1346,110 @@ namespace MatrixCreator if (fe_is_system) // FE has several components { + coefficient_vector_values.resize (fe_values.n_quadrature_points, + Vector(n_components)); + coefficient_values.resize (fe_values.n_quadrature_points, 1.); + rhs_values_system.resize (fe_values.n_quadrature_points, Vector(n_function_components)); boundary_functions.find(cell->face(face)->boundary_id()) ->second->vector_value_list (fe_values.get_quadrature_points(), rhs_values_system); + if (coefficient_is_vector) + // In case coefficient is vector-valued, fill + // all components + coefficient->vector_value_list (fe_values.get_quadrature_points(), + coefficient_vector_values); + else + // In case the scalar function is given, update the + // values, if not - use the default (1.0) + { + if (coefficient != nullptr) + coefficient->value_list (fe_values.get_quadrature_points(), + coefficient_values); - if (coefficient != nullptr) + for (unsigned int point=0; point > normal_adjustment(fe_values.n_quadrature_points, + std::vector(n_components, 1.)); + + for (unsigned int comp = 0; compn_components==1) - { - coefficient_values.resize (fe_values.n_quadrature_points); - coefficient->value_list (fe_values.get_quadrature_points(), - coefficient_values); - for (unsigned int point=0; point(n_components)); - coefficient->vector_value_list (fe_values.get_quadrature_points(), - coefficient_vector_values); - for (unsigned int point=0; point &base = fe.base_element(fe.component_to_base_index(comp).first); + const unsigned int bcomp = fe.component_to_base_index(comp).second; + + if (!base.conforms(FiniteElementData::H1) && + base.conforms(FiniteElementData::Hdiv) && + fe_is_primitive) + Assert(false, ExcNotImplemented()); + + if (!base.conforms(FiniteElementData::H1) && + base.conforms(FiniteElementData::Hcurl)) + Assert(false, ExcNotImplemented()); + + if (!base.conforms(FiniteElementData::H1) && + base.conforms(FiniteElementData::Hdiv)) + for (unsigned int point=0; pointface(face)->boundary_id()) ->second->value_list (fe_values.get_quadrature_points(), rhs_values_scalar); @@ -1429,41 +1459,25 @@ namespace MatrixCreator coefficient_values.resize (fe_values.n_quadrature_points); coefficient->value_list (fe_values.get_quadrature_points(), coefficient_values); - for (unsigned int point=0; pointface(face)->get_dof_indices (dofs_on_face_vector, - cell->active_fe_index()); + cell->face(face)->get_dof_indices (dofs_on_face_vector,cell->active_fe_index()); // for each dof on the cell, have a // flag whether it is on the face copy_data.dof_is_on_face.emplace_back(copy_data.dofs_per_cell); @@ -1479,7 +1493,6 @@ namespace MatrixCreator } - template void copy_hp_boundary_mass_matrix_1(MatrixCreator::internal::AssemblerBoundary ::CopyData,number > const ©_data, @@ -1550,38 +1563,23 @@ namespace MatrixCreator #endif for (unsigned int i=0; iat_boundary (face) && (!periodic_neighbor)) { for (unsigned int i=0; iget_fe().dofs_per_cell; ++i) - for (unsigned int j=0; jget_fe().dofs_per_cell; ++j) - if ((flux_mask(cell->get_fe().system_to_component_index(i).first, - cell->get_fe().system_to_component_index(j).first) - == always) - || - (flux_mask(cell->get_fe().system_to_component_index(i).first, - cell->get_fe().system_to_component_index(j).first) - == nonzero)) - sparsity.add (dofs_on_this_cell[i], - dofs_on_this_cell[j]); + { + const unsigned int ii + = (cell->get_fe().is_primitive(i) ? + cell->get_fe().system_to_component_index(i).first + : + cell->get_fe().get_nonzero_components(i).first_selected_component() + ); + + Assert (ii < cell->get_fe().n_components(), ExcInternalError()); + + for (unsigned int j=0; jget_fe().dofs_per_cell; ++j) + { + const unsigned int jj + = (cell->get_fe().is_primitive(j) ? + cell->get_fe().system_to_component_index(j).first + : + cell->get_fe().get_nonzero_components(j).first_selected_component() + ); + + Assert (jj < cell->get_fe().n_components(), ExcInternalError()); + + if ((flux_mask(ii,jj) == always) + || + (flux_mask(ii,jj) == nonzero)) + sparsity.add (dofs_on_this_cell[i], + dofs_on_this_cell[j]); + } + } } else { @@ -1096,16 +1114,30 @@ namespace DoFTools sub_neighbor->get_dof_indices (dofs_on_other_cell); for (unsigned int i=0; iget_fe().dofs_per_cell; ++i) { + const unsigned int ii + = (cell->get_fe().is_primitive(i) ? + cell->get_fe().system_to_component_index(i).first + : + cell->get_fe().get_nonzero_components(i).first_selected_component() + ); + + Assert (ii < cell->get_fe().n_components(), ExcInternalError()); + for (unsigned int j=0; jget_fe().dofs_per_cell; ++j) { - if ((flux_mask(cell->get_fe().system_to_component_index(i).first, - sub_neighbor->get_fe().system_to_component_index(j).first) - == always) + const unsigned int jj + = (sub_neighbor->get_fe().is_primitive(j) ? + sub_neighbor->get_fe().system_to_component_index(j).first + : + sub_neighbor->get_fe().get_nonzero_components(j).first_selected_component() + ); + + Assert (jj < sub_neighbor->get_fe().n_components(), ExcInternalError()); + + if ((flux_mask(ii,jj) == always) || - (flux_mask(cell->get_fe().system_to_component_index(i).first, - sub_neighbor->get_fe().system_to_component_index(j).first) - == nonzero)) + (flux_mask(ii,jj) == nonzero)) { sparsity.add (dofs_on_this_cell[i], dofs_on_other_cell[j]); @@ -1117,13 +1149,9 @@ namespace DoFTools dofs_on_other_cell[j]); } - if ((flux_mask(sub_neighbor->get_fe().system_to_component_index(j).first, - cell->get_fe().system_to_component_index(i).first) - == always) + if ((flux_mask(jj,ii) == always) || - (flux_mask(sub_neighbor->get_fe().system_to_component_index(j).first, - cell->get_fe().system_to_component_index(i).first) - == nonzero)) + (flux_mask(jj,ii) == nonzero)) { sparsity.add (dofs_on_this_cell[j], dofs_on_other_cell[i]); @@ -1144,15 +1172,29 @@ namespace DoFTools neighbor->get_dof_indices (dofs_on_other_cell); for (unsigned int i=0; iget_fe().dofs_per_cell; ++i) { + const unsigned int ii + = (cell->get_fe().is_primitive(i) ? + cell->get_fe().system_to_component_index(i).first + : + cell->get_fe().get_nonzero_components(i).first_selected_component() + ); + + Assert (ii < cell->get_fe().n_components(), ExcInternalError()); + for (unsigned int j=0; jget_fe().dofs_per_cell; ++j) { - if ((flux_mask(cell->get_fe().system_to_component_index(i).first, - neighbor->get_fe().system_to_component_index(j).first) - == always) + const unsigned int jj + = (neighbor->get_fe().is_primitive(j) ? + neighbor->get_fe().system_to_component_index(j).first + : + neighbor->get_fe().get_nonzero_components(j).first_selected_component() + ); + + Assert (jj < neighbor->get_fe().n_components(), ExcInternalError()); + + if ((flux_mask(ii,jj) == always) || - (flux_mask(cell->get_fe().system_to_component_index(i).first, - neighbor->get_fe().system_to_component_index(j).first) - == nonzero)) + (flux_mask(ii,jj) == nonzero)) { sparsity.add (dofs_on_this_cell[i], dofs_on_other_cell[j]); @@ -1164,13 +1206,9 @@ namespace DoFTools dofs_on_other_cell[j]); } - if ((flux_mask(neighbor->get_fe().system_to_component_index(j).first, - cell->get_fe().system_to_component_index(i).first) - == always) + if ((flux_mask(jj,ii) == always) || - (flux_mask(neighbor->get_fe().system_to_component_index(j).first, - cell->get_fe().system_to_component_index(i).first) - == nonzero)) + (flux_mask(jj,ii) == nonzero)) { sparsity.add (dofs_on_this_cell[j], dofs_on_other_cell[i]); diff --git a/tests/hp/boundary_matrices.cc b/tests/hp/boundary_matrices.cc new file mode 100644 index 0000000000..779eba87b5 --- /dev/null +++ b/tests/hp/boundary_matrices.cc @@ -0,0 +1,144 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2017 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + + +// Like hp/matrices, but only the boundary mass matrices for vector-valued +// (non-primitive) hp objects are being tested. + + +#include "../tests.h" +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + + + +template +class MySquareFunction : public Function +{ +public: + MySquareFunction () : Function(dim+1) {} + + virtual double value (const Point &p, + const unsigned int component) const + { + return (component+1)*p.square(); + } + + virtual void vector_value (const Point &p, + Vector &values) const + { + for (unsigned int i=0; i +void +check () +{ + Triangulation tr; + if (dim==2) + GridGenerator::hyper_ball(tr, Point(), 1); + else + GridGenerator::hyper_cube(tr, -1,1); + tr.refine_global (1); + tr.begin_active()->set_refine_flag (); + tr.execute_coarsening_and_refinement (); + if (dim==1) + tr.refine_global(2); + + // Create a system element composed + // of one RT1 and one DGQ1 + hp::FECollection element; + element.push_back (FESystem (FE_RaviartThomasNodal(1), 1, + FE_DGQ(1), 1)); + hp::DoFHandler dof(tr); + dof.distribute_dofs(element); + + MySquareFunction coefficient; + typename FunctionMap::type function_map; + function_map[0] = &coefficient; + + hp::QCollection face_quadrature; + face_quadrature.push_back (QGauss(6)); + + std::vector dof_to_boundary_mapping; + DoFTools::map_dof_to_boundary_indices (dof, + dof_to_boundary_mapping); + + SparsityPattern sparsity(dof.n_boundary_dofs(function_map), + dof.max_couplings_between_boundary_dofs()); + DoFTools::make_boundary_sparsity_pattern (dof, + function_map, + dof_to_boundary_mapping, + sparsity); + sparsity.compress (); + + SparseMatrix matrix; + matrix.reinit (sparsity); + + Vector rhs (dof.n_boundary_dofs(function_map)); + MatrixTools:: + create_boundary_mass_matrix (dof, + face_quadrature, matrix, + function_map, rhs, + dof_to_boundary_mapping, + &coefficient); + + // Multiply matrix by 100 to + // make test more sensitive + matrix *= 100; + + // Write out matrix + matrix.print (deallog.get_file_stream()); +} + + + +int main () +{ + std::ofstream logfile ("output"); + logfile.precision (2); + logfile.setf(std::ios::fixed); + deallog.attach(logfile); + + deallog.push ("2d"); + check<2> (); + deallog.pop (); + deallog.push ("3d"); + check<3> (); + deallog.pop (); +} diff --git a/tests/hp/boundary_matrices.output b/tests/hp/boundary_matrices.output new file mode 100644 index 0000000000..156d4389b0 --- /dev/null +++ b/tests/hp/boundary_matrices.output @@ -0,0 +1,565 @@ + +(0,0) 76.23 +(0,1) -2.36 +(1,1) 117.05 +(1,0) -2.36 +(2,2) 58.53 +(2,3) -1.18 +(3,3) 38.11 +(3,2) -1.18 +(4,4) 38.11 +(4,5) -1.18 +(5,5) 58.53 +(5,4) -1.18 +(6,6) 58.53 +(6,7) -1.18 +(7,7) 38.11 +(7,6) -1.18 +(8,8) 38.11 +(8,9) -1.18 +(9,9) 58.53 +(9,8) -1.18 +(10,10) 117.05 +(10,11) -2.36 +(11,11) 76.23 +(11,10) -2.36 +(12,12) 76.23 +(12,13) -2.36 +(13,13) 117.05 +(13,12) -2.36 +(14,14) 255.71 +(14,15) -1.18 +(15,15) 194.48 +(15,14) -1.18 +(16,16) 164.59 +(16,17) -1.18 +(17,17) 144.18 +(17,16) -1.18 +(0,0) 57.77 +(0,1) -0.83 +(0,2) -0.83 +(0,3) 0.00 +(1,1) 43.33 +(1,0) -0.83 +(1,2) 0.00 +(1,3) -0.83 +(2,2) 43.33 +(2,0) -0.83 +(2,1) 0.00 +(2,3) -0.83 +(3,3) 28.90 +(3,0) 0.00 +(3,1) -0.83 +(3,2) -0.83 +(4,4) 86.67 +(4,5) -1.67 +(4,6) -1.67 +(4,7) 0.00 +(5,5) 57.80 +(5,4) -1.67 +(5,6) 0.00 +(5,7) -1.67 +(6,6) 115.53 +(6,4) -1.67 +(6,5) 0.00 +(6,7) -1.67 +(7,7) 86.67 +(7,4) 0.00 +(7,5) -1.67 +(7,6) -1.67 +(8,8) 130.00 +(8,9) -2.50 +(8,10) -2.50 +(8,11) 0.00 +(9,9) 173.30 +(9,8) -2.50 +(9,10) 0.00 +(9,11) -2.50 +(10,10) 86.70 +(10,8) -2.50 +(10,9) 0.00 +(10,11) -2.50 +(11,11) 130.00 +(11,8) 0.00 +(11,9) -2.50 +(11,10) -2.50 +(12,12) 43.33 +(12,13) -0.83 +(12,14) -0.83 +(12,15) 0.00 +(13,13) 57.77 +(13,12) -0.83 +(13,14) 0.00 +(13,15) -0.83 +(14,14) 28.90 +(14,12) -0.83 +(14,13) 0.00 +(14,15) -0.83 +(15,15) 43.33 +(15,12) 0.00 +(15,13) -0.83 +(15,14) -0.83 +(16,16) 115.53 +(16,17) -1.67 +(16,18) -1.67 +(16,19) 0.00 +(17,17) 86.67 +(17,16) -1.67 +(17,18) 0.00 +(17,19) -1.67 +(18,18) 86.67 +(18,16) -1.67 +(18,17) 0.00 +(18,19) -1.67 +(19,19) 57.80 +(19,16) 0.00 +(19,17) -1.67 +(19,18) -1.67 +(20,20) 130.00 +(20,21) -2.50 +(20,22) -2.50 +(20,23) 0.00 +(21,21) 86.70 +(21,20) -2.50 +(21,22) 0.00 +(21,23) -2.50 +(22,22) 173.30 +(22,20) -2.50 +(22,21) 0.00 +(22,23) -2.50 +(23,23) 130.00 +(23,20) 0.00 +(23,21) -2.50 +(23,22) -2.50 +(24,24) 43.33 +(24,25) -0.83 +(24,26) -0.83 +(24,27) 0.00 +(25,25) 57.77 +(25,24) -0.83 +(25,26) 0.00 +(25,27) -0.83 +(26,26) 28.90 +(26,24) -0.83 +(26,25) 0.00 +(26,27) -0.83 +(27,27) 43.33 +(27,24) 0.00 +(27,25) -0.83 +(27,26) -0.83 +(28,28) 86.67 +(28,29) -1.67 +(28,30) -1.67 +(28,31) 0.00 +(29,29) 57.80 +(29,28) -1.67 +(29,30) 0.00 +(29,31) -1.67 +(30,30) 115.53 +(30,28) -1.67 +(30,29) 0.00 +(30,31) -1.67 +(31,31) 86.67 +(31,28) 0.00 +(31,29) -1.67 +(31,30) -1.67 +(32,32) 86.70 +(32,33) -2.50 +(32,34) -2.50 +(32,35) 0.00 +(33,33) 130.00 +(33,32) -2.50 +(33,34) 0.00 +(33,35) -2.50 +(34,34) 130.00 +(34,32) -2.50 +(34,33) 0.00 +(34,35) -2.50 +(35,35) 173.30 +(35,32) 0.00 +(35,33) -2.50 +(35,34) -2.50 +(36,36) 43.33 +(36,37) -0.83 +(36,38) -0.83 +(36,39) 0.00 +(37,37) 28.90 +(37,36) -0.83 +(37,38) 0.00 +(37,39) -0.83 +(38,38) 57.77 +(38,36) -0.83 +(38,37) 0.00 +(38,39) -0.83 +(39,39) 43.33 +(39,36) 0.00 +(39,37) -0.83 +(39,38) -0.83 +(40,40) 86.67 +(40,41) -1.67 +(40,42) -1.67 +(40,43) 0.00 +(41,41) 115.53 +(41,40) -1.67 +(41,42) 0.00 +(41,43) -1.67 +(42,42) 57.80 +(42,40) -1.67 +(42,41) 0.00 +(42,43) -1.67 +(43,43) 86.67 +(43,40) 0.00 +(43,41) -1.67 +(43,42) -1.67 +(44,44) 173.30 +(44,45) -2.50 +(44,46) -2.50 +(44,47) 0.00 +(45,45) 130.00 +(45,44) -2.50 +(45,46) 0.00 +(45,47) -2.50 +(46,46) 130.00 +(46,44) -2.50 +(46,45) 0.00 +(46,47) -2.50 +(47,47) 86.70 +(47,44) 0.00 +(47,45) -2.50 +(47,46) -2.50 +(48,48) 43.33 +(48,49) -0.83 +(48,50) -0.83 +(48,51) 0.00 +(49,49) 28.90 +(49,48) -0.83 +(49,50) 0.00 +(49,51) -0.83 +(50,50) 57.77 +(50,48) -0.83 +(50,49) 0.00 +(50,51) -0.83 +(51,51) 43.33 +(51,48) 0.00 +(51,49) -0.83 +(51,50) -0.83 +(52,52) 57.80 +(52,53) -1.67 +(52,54) -1.67 +(52,55) 0.00 +(53,53) 86.67 +(53,52) -1.67 +(53,54) 0.00 +(53,55) -1.67 +(54,54) 86.67 +(54,52) -1.67 +(54,53) 0.00 +(54,55) -1.67 +(55,55) 115.53 +(55,52) 0.00 +(55,53) -1.67 +(55,54) -1.67 +(56,56) 130.00 +(56,57) -2.50 +(56,58) -2.50 +(56,59) 0.00 +(57,57) 173.30 +(57,56) -2.50 +(57,58) 0.00 +(57,59) -2.50 +(58,58) 86.70 +(58,56) -2.50 +(58,57) 0.00 +(58,59) -2.50 +(59,59) 130.00 +(59,56) 0.00 +(59,57) -2.50 +(59,58) -2.50 +(60,60) 28.90 +(60,61) -0.83 +(60,62) -0.83 +(60,63) 0.00 +(61,61) 43.33 +(61,60) -0.83 +(61,62) 0.00 +(61,63) -0.83 +(62,62) 43.33 +(62,60) -0.83 +(62,61) 0.00 +(62,63) -0.83 +(63,63) 57.77 +(63,60) 0.00 +(63,61) -0.83 +(63,62) -0.83 +(64,64) 86.67 +(64,65) -1.67 +(64,66) -1.67 +(64,67) 0.00 +(65,65) 115.53 +(65,64) -1.67 +(65,66) 0.00 +(65,67) -1.67 +(66,66) 57.80 +(66,64) -1.67 +(66,65) 0.00 +(66,67) -1.67 +(67,67) 86.67 +(67,64) 0.00 +(67,65) -1.67 +(67,66) -1.67 +(68,68) 130.00 +(68,69) -2.50 +(68,70) -2.50 +(68,71) 0.00 +(69,69) 86.70 +(69,68) -2.50 +(69,70) 0.00 +(69,71) -2.50 +(70,70) 173.30 +(70,68) -2.50 +(70,69) 0.00 +(70,71) -2.50 +(71,71) 130.00 +(71,68) 0.00 +(71,69) -2.50 +(71,70) -2.50 +(72,72) 28.90 +(72,73) -0.83 +(72,74) -0.83 +(72,75) 0.00 +(73,73) 43.33 +(73,72) -0.83 +(73,74) 0.00 +(73,75) -0.83 +(74,74) 43.33 +(74,72) -0.83 +(74,73) 0.00 +(74,75) -0.83 +(75,75) 57.77 +(75,72) 0.00 +(75,73) -0.83 +(75,74) -0.83 +(76,76) 57.80 +(76,77) -1.67 +(76,78) -1.67 +(76,79) 0.00 +(77,77) 86.67 +(77,76) -1.67 +(77,78) 0.00 +(77,79) -1.67 +(78,78) 86.67 +(78,76) -1.67 +(78,77) 0.00 +(78,79) -1.67 +(79,79) 115.53 +(79,76) 0.00 +(79,77) -1.67 +(79,78) -1.67 +(80,80) 86.70 +(80,81) -2.50 +(80,82) -2.50 +(80,83) 0.00 +(81,81) 130.00 +(81,80) -2.50 +(81,82) 0.00 +(81,83) -2.50 +(82,82) 130.00 +(82,80) -2.50 +(82,81) 0.00 +(82,83) -2.50 +(83,83) 173.30 +(83,80) 0.00 +(83,81) -2.50 +(83,82) -2.50 +(84,84) 261.63 +(84,85) -0.83 +(84,86) -0.83 +(84,87) 0.00 +(85,85) 218.33 +(85,84) -0.83 +(85,86) 0.00 +(85,87) -0.83 +(86,86) 218.33 +(86,84) -0.83 +(86,85) 0.00 +(86,87) -0.83 +(87,87) 175.03 +(87,84) 0.00 +(87,85) -0.83 +(87,86) -0.83 +(88,88) 523.27 +(88,89) -1.67 +(88,90) -1.67 +(88,91) 0.00 +(89,89) 436.67 +(89,88) -1.67 +(89,90) 0.00 +(89,91) -1.67 +(90,90) 436.67 +(90,88) -1.67 +(90,89) 0.00 +(90,91) -1.67 +(91,91) 350.06 +(91,88) 0.00 +(91,89) -1.67 +(91,90) -1.67 +(92,92) 784.90 +(92,93) -2.50 +(92,94) -2.50 +(92,95) 0.00 +(93,93) 655.00 +(93,92) -2.50 +(93,94) 0.00 +(93,95) -2.50 +(94,94) 655.00 +(94,92) -2.50 +(94,93) 0.00 +(94,95) -2.50 +(95,95) 525.10 +(95,92) 0.00 +(95,93) -2.50 +(95,94) -2.50 +(96,96) 394.40 +(96,97) -1.67 +(96,98) -1.67 +(96,99) 0.00 +(97,97) 307.80 +(97,96) -1.67 +(97,98) 0.00 +(97,99) -1.67 +(98,98) 365.53 +(98,96) -1.67 +(98,97) 0.00 +(98,99) -1.67 +(99,99) 278.93 +(99,96) 0.00 +(99,97) -1.67 +(99,98) -1.67 +(100,100) 591.60 +(100,101) -2.50 +(100,102) -2.50 +(100,103) 0.00 +(101,101) 548.30 +(101,100) -2.50 +(101,102) 0.00 +(101,103) -2.50 +(102,102) 461.70 +(102,100) -2.50 +(102,101) 0.00 +(102,103) -2.50 +(103,103) 418.40 +(103,100) 0.00 +(103,101) -2.50 +(103,102) -2.50 +(104,104) 197.20 +(104,105) -0.83 +(104,106) -0.83 +(104,107) 0.00 +(105,105) 182.77 +(105,104) -0.83 +(105,106) 0.00 +(105,107) -0.83 +(106,106) 153.90 +(106,104) -0.83 +(106,105) 0.00 +(106,107) -0.83 +(107,107) 139.47 +(107,104) 0.00 +(107,105) -0.83 +(107,106) -0.83 +(108,108) 591.60 +(108,109) -2.50 +(108,110) -2.50 +(108,111) 0.00 +(109,109) 461.70 +(109,108) -2.50 +(109,110) 0.00 +(109,111) -2.50 +(110,110) 548.30 +(110,108) -2.50 +(110,109) 0.00 +(110,111) -2.50 +(111,111) 418.40 +(111,108) 0.00 +(111,109) -2.50 +(111,110) -2.50 +(112,112) 398.30 +(112,113) -2.50 +(112,114) -2.50 +(112,115) 0.00 +(113,113) 355.00 +(113,112) -2.50 +(113,114) 0.00 +(113,115) -2.50 +(114,114) 355.00 +(114,112) -2.50 +(114,113) 0.00 +(114,115) -2.50 +(115,115) 311.70 +(115,112) 0.00 +(115,113) -2.50 +(115,114) -2.50 +(116,116) 197.20 +(116,117) -0.83 +(116,118) -0.83 +(116,119) 0.00 +(117,117) 153.90 +(117,116) -0.83 +(117,118) 0.00 +(117,119) -0.83 +(118,118) 182.77 +(118,116) -0.83 +(118,117) 0.00 +(118,119) -0.83 +(119,119) 139.47 +(119,116) 0.00 +(119,117) -0.83 +(119,118) -0.83 +(120,120) 394.40 +(120,121) -1.67 +(120,122) -1.67 +(120,123) 0.00 +(121,121) 365.53 +(121,120) -1.67 +(121,122) 0.00 +(121,123) -1.67 +(122,122) 307.80 +(122,120) -1.67 +(122,121) 0.00 +(122,123) -1.67 +(123,123) 278.93 +(123,120) 0.00 +(123,121) -1.67 +(123,122) -1.67 +(124,124) 265.53 +(124,125) -1.67 +(124,126) -1.67 +(124,127) 0.00 +(125,125) 236.67 +(125,124) -1.67 +(125,126) 0.00 +(125,127) -1.67 +(126,126) 236.67 +(126,124) -1.67 +(126,125) 0.00 +(126,127) -1.67 +(127,127) 207.80 +(127,124) 0.00 +(127,125) -1.67 +(127,126) -1.67 +(128,128) 132.77 +(128,129) -0.83 +(128,130) -0.83 +(128,131) 0.00 +(129,129) 118.33 +(129,128) -0.83 +(129,130) 0.00 +(129,131) -0.83 +(130,130) 118.33 +(130,128) -0.83 +(130,129) 0.00 +(130,131) -0.83 +(131,131) 103.90 +(131,128) 0.00 +(131,129) -0.83 +(131,130) -0.83 diff --git a/tests/hp/boundary_matrices_hp.cc b/tests/hp/boundary_matrices_hp.cc new file mode 100644 index 0000000000..e0960b59cc --- /dev/null +++ b/tests/hp/boundary_matrices_hp.cc @@ -0,0 +1,161 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2017 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + + +// Same as hp/boundary_matrices, but with different FE objects. Tests +// the boundary mass matrces for vector-valued (non-primiteve) hp +// FE objects. + + +#include "../tests.h" +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + + + +template +class MySquareFunction : public Function +{ +public: + MySquareFunction () : Function(2*dim+1) {} + + virtual double value (const Point &p, + const unsigned int component) const + { + return (component+1)*p.square(); + } + + virtual void vector_value (const Point &p, + Vector &values) const + { + for (unsigned int i=0; i<2*dim+1; ++i) + values(i) = value(p,i); + } +}; + + + +template +void +check () +{ + Triangulation tr; + if (dim==2) + GridGenerator::hyper_ball(tr, Point(), 1); + else + GridGenerator::hyper_cube(tr, -1,1); + tr.refine_global (1); + tr.begin_active()->set_refine_flag (); + tr.execute_coarsening_and_refinement (); + if (dim==1) + tr.refine_global(2); + + // Create a system element composed + // of one RT-i and one DGQ-i. + hp::FECollection element; + for (unsigned int i=0; i<5-dim; ++i) + element.push_back (FESystem (FE_RaviartThomasNodal(i), 1, + FE_DGQ(i), 1, + FE_Nothing(), dim)); + + // ... also add Q-(i+1) ^ dim + // to this system + for (unsigned int i=1; i<3; ++i) + element.push_back (FESystem (FE_Nothing(dim), 1, + FE_Nothing(), 1, + FE_Q(i), dim)); + + hp::DoFHandler dof(tr); + for (typename hp::DoFHandler::active_cell_iterator + cell = dof.begin_active(); cell!=dof.end(); ++cell) + cell->set_active_fe_index (Testing::rand() % element.size()); + + dof.distribute_dofs(element); + + MySquareFunction coefficient; + typename FunctionMap::type function_map; + function_map[0] = &coefficient; + + hp::QCollection face_quadrature; + for (unsigned int i=0; i<7-dim; ++i) + face_quadrature.push_back (QGauss(4+i)); + + std::vector dof_to_boundary_mapping; + DoFTools::map_dof_to_boundary_indices (dof, + dof_to_boundary_mapping); + + SparsityPattern sparsity(dof.n_boundary_dofs(function_map), + dof.max_couplings_between_boundary_dofs()); + DoFTools::make_boundary_sparsity_pattern (dof, + function_map, + dof_to_boundary_mapping, + sparsity); + sparsity.compress (); + + SparseMatrix matrix; + matrix.reinit (sparsity); + + Vector rhs (dof.n_boundary_dofs(function_map)); + MatrixTools:: + create_boundary_mass_matrix (dof, + face_quadrature, matrix, + function_map, rhs, + dof_to_boundary_mapping, + &coefficient); + + // Multiply matrix by 100 to + // make test more sensitive + matrix *= 100; + + // Write out matrix + matrix.print (deallog.get_file_stream()); +} + + + +int main () +{ + std::ofstream logfile ("output"); + logfile.precision (2); + logfile.setf(std::ios::fixed); + deallog.attach(logfile); + + deallog.push ("2d"); + check<2> (); + deallog.pop (); + deallog.push ("3d"); + check<3> (); + deallog.pop (); +} diff --git a/tests/hp/boundary_matrices_hp.output b/tests/hp/boundary_matrices_hp.output new file mode 100644 index 0000000000..b2dfbccb50 --- /dev/null +++ b/tests/hp/boundary_matrices_hp.output @@ -0,0 +1,7812 @@ + +(0,0) 51.85 +(0,1) 0.00 +(0,2) 30.64 +(0,3) 0.00 +(1,1) 64.82 +(1,0) 0.00 +(1,2) 0.00 +(1,3) 38.30 +(2,2) 75.42 +(2,0) 30.64 +(2,1) 0.00 +(2,3) 0.00 +(3,3) 94.28 +(3,0) 0.00 +(3,1) 38.30 +(3,2) 0.00 +(4,4) 94.28 +(5,5) 94.28 +(6,6) 35.39 +(6,7) -0.56 +(6,8) 0.28 +(7,7) 40.41 +(7,6) -0.56 +(7,8) -0.56 +(8,8) 20.17 +(8,6) 0.28 +(8,7) -0.56 +(9,9) 94.28 +(10,10) 117.05 +(10,11) -2.36 +(11,11) 76.23 +(11,10) -2.36 +(12,12) 76.23 +(12,13) -2.36 +(13,13) 117.05 +(13,12) -2.36 +(14,14) 255.71 +(14,15) -1.18 +(15,15) 194.48 +(15,14) -1.18 +(16,16) 164.59 +(16,17) -1.18 +(17,17) 144.18 +(17,16) -1.18 +(0,0) 57.77 +(0,1) -0.83 +(0,2) -0.83 +(0,3) 0.00 +(1,1) 43.33 +(1,0) -0.83 +(1,2) 0.00 +(1,3) -0.83 +(2,2) 43.33 +(2,0) -0.83 +(2,1) 0.00 +(2,3) -0.83 +(3,3) 28.90 +(3,0) 0.00 +(3,1) -0.83 +(3,2) -0.83 +(4,4) 86.67 +(4,5) -1.67 +(4,6) -1.67 +(4,7) 0.00 +(5,5) 57.80 +(5,4) -1.67 +(5,6) 0.00 +(5,7) -1.67 +(6,6) 115.53 +(6,4) -1.67 +(6,5) 0.00 +(6,7) -1.67 +(7,7) 86.67 +(7,4) 0.00 +(7,5) -1.67 +(7,6) -1.67 +(8,8) 130.00 +(8,9) -2.50 +(8,10) -2.50 +(8,11) 0.00 +(9,9) 173.30 +(9,8) -2.50 +(9,10) 0.00 +(9,11) -2.50 +(10,10) 86.70 +(10,8) -2.50 +(10,9) 0.00 +(10,11) -2.50 +(11,11) 130.00 +(11,8) 0.00 +(11,9) -2.50 +(11,10) -2.50 +(12,12) 238.89 +(12,13) 0.00 +(12,14) 0.00 +(12,15) 105.56 +(12,16) 0.00 +(12,17) 0.00 +(12,18) 38.89 +(12,19) 0.00 +(12,20) 0.00 +(12,21) 22.22 +(12,22) 0.00 +(12,23) 0.00 +(12,24) 22.22 +(12,25) 0.00 +(12,26) 0.00 +(12,30) 38.89 +(12,31) 0.00 +(12,32) 0.00 +(12,210) 5.73 +(12,211) 0.00 +(12,212) 0.00 +(12,216) 25.69 +(12,217) 0.00 +(12,218) 0.00 +(12,219) 5.73 +(12,220) 0.00 +(12,221) 0.00 +(12,222) 11.11 +(12,223) 0.00 +(12,224) 0.00 +(12,225) 11.11 +(12,226) 0.00 +(12,227) 0.00 +(13,13) 286.67 +(13,12) 0.00 +(13,14) 0.00 +(13,15) 0.00 +(13,16) 126.67 +(13,17) 0.00 +(13,18) 0.00 +(13,19) 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deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + +// A test that checks make_flux_sparsity_pattern +// with vector-valued hp objects and coupling masks + +#include "../tests.h" +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + + + +template +void +check () +{ + Triangulation triangulation; + std::vector subdivisions(dim, 1U); + subdivisions[0] = 2; + Point p1,p2; + switch (dim) + { + case 2: + p1[0] = p1[1] = 0.0; + p2[0] = 2.0; + p2[1] = 1.0; + break; + case 3: + p1[0] = p1[1] = p1[2] = 0.0; + p2[0] = 2.0; + p2[1] = p2[2] = 1.0; + break; + default: + Assert(false, ExcNotImplemented()); + } + + GridGenerator::subdivided_hyper_rectangle (triangulation, + subdivisions, + p1, p2); + + // Create FE Collection and insert two FE objects + // (RT0 - DGQ0 - Q1 ^ dim) and (Nothing - Nothing - Q2 ^ dim) + hp::FECollection fe_collection; + fe_collection.push_back(FESystem(FE_Nothing(dim),1, + FE_Nothing(),1, + FE_Q(2),dim)); + fe_collection.push_back(FESystem(FE_RaviartThomasNodal(0),1, + FE_DGQ(0),1, + FE_Nothing(),dim)); + + hp::DoFHandler dof_handler(triangulation); + dof_handler.begin_active()->set_active_fe_index(1); + dof_handler.distribute_dofs(fe_collection); + + // Create sparsity pattern allowing cell couplings of + // RT-RT, RT-DGQ, DGQ-RT and Q-Q spaces, + // and face coupling of + // RT and Q + DynamicSparsityPattern dsp(dof_handler.n_dofs(), + dof_handler.n_dofs()); + + Table<2, DoFTools::Coupling> cell_coupling(fe_collection.n_components(), + fe_collection.n_components()); + Table<2, DoFTools::Coupling> face_coupling(fe_collection.n_components(), + fe_collection.n_components()); + + for (unsigned int c=0; c=dim+1 && d>=dim+1) + cell_coupling[c][d] = DoFTools::always; + + // RT-Q + if (c=dim+1) + face_coupling[c][d] = DoFTools::always; + } + + DoFTools::make_flux_sparsity_pattern (dof_handler, dsp, + cell_coupling, face_coupling); + dsp.compress(); + + // Print sparsity pattern + dsp.print(deallog.get_file_stream()); +} + + + +int main() +{ + std::ofstream logfile ("output"); + deallog.attach(logfile); + + deallog.push ("2d"); + check<2> (); + deallog.pop (); + deallog.push ("3d"); + check<3> (); + deallog.pop (); +} + + + diff --git a/tests/hp/flux_sparsity.output b/tests/hp/flux_sparsity.output new file mode 100644 index 0000000000..7817e46a86 --- /dev/null +++ b/tests/hp/flux_sparsity.output @@ -0,0 +1,112 @@ + +[0,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22] +[1,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22] +[2,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22] +[3,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22] +[4,0,1,2,3] +[5,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22] +[6,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22] +[7,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22] +[8,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22] +[9,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22] +[10,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22] +[11,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22] +[12,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22] +[13,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22] +[14,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22] +[15,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22] +[16,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22] 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